Abstract
Elastic, thermodynamic, electronic, and magnetic properties in the cubic antiperovskite InNCe\(_{3}\) compound are derived from the full-potential linear muffin-tin orbital method. From the computed elastic constants, theoretical values of Young’s modulus, the shear modulus, Poisson’s ratio, Lamé’s coefficients, sound velocities, and the Debye temperature are evaluated. Analysis of the ratio between the bulk modulus and the shear modulus shows that InNCe\(_{3}\) is brittle in nature. The variations of elastic constants with pressure indicate that this compound possesses higher mechanical stability in the pressure range from 0 to 40 GPa. The electronic and magnetic properties of this compound are calculated by adding the Coulomb interaction \(U\) to improve the results.
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References
H. Haschke, H. Nowotny, F. Benesovsky, Monatsh. Chem. 98, 2157 (1967)
B.V. Beznosikov, J. Struct. Chem. 44, 885 (2003)
F. Gäbler, W. Schnelle, A. Senyshyn, R. Niewa, Solid State Sci. 10, 1910 (2008)
M. Kirchner, W. Schnelle, F.R. Wagner, R. Niewa, Solid State Sci. 5, 1247 (2003)
R. Niewa, H. Jacobs, Chem. Rev. 96, 2053 (1996)
R. Kniep, Pure Appl. Chem. 69, 185 (1997)
R. Niewa, F.J. DiSalvo, Chem. Mater. 10, 2733 (1998)
S. Savrasov, D. Savrasov, Phys. Rev. B 46, 12181 (1992)
S.Y. Savrasov, Phys. Rev. B 54, 16470 (1996)
P. Hohenberg, W. Kohn, Phys. Rev. B 136, 864 (1964)
W. Kohn, L.J. Sham, Phys. Rev. A 140, 1133 (1965)
J.P. Perdew, Y. Wang, Phys. Rev. B 46, 12947 (1992)
P. Blochl, O. Jepsen, O.K. Andersen, Phys. Rev. B 49, 16223 (1994)
M.A. Blanco, E. Francisco, V. Luaña, Comput. Phys. Commun. 158, 7 (2004)
M. Flórez, J.M. Recio, E. Francisco, M.A. Blanco, A. Martín Pendás, Phys. Rev. B 66, 44112 (2002)
M.A. Blanco, A. Martín Pendás, E. Francisco, J.M. Recio, R. Franco, J. Mol. Struct. (THEOCHEM) 368, 45 (1996)
R. Hill, Proc. Phys. Soc. Lond. A 65, 49 (1952)
O.L. Anderson, Equation of State of Solids for Geophysics and Ceramic Science (Oxford University Press, Oxford, 1995)
M.J. Mehl, Phys. Rev. B 47, 2493 (1993)
L. Kleinman, Phys. Rev. 128, 2614 (1962)
Q. Chen, B. Sundman, Acta Mater. 49, 947 (2001)
D.C. Wallace, Thermodynamics of Crystals (Wiley, New York, 1972)
S.F. Pugh, Philos. Mag. 45, 823–843 (1954)
G. Vatheeswaran, V. Kanchana, R.S. Kumar, A.L. Cornelius, M.F. Nicol, A. Svane, A. Delin, B. Johansson, Phys. Rev. B 76, 014107 (2007)
I.N. Frantsevich, F.F. Voronov, S.K. Bokuta, in Elastic Constant and Elastic Moduli of Metals and Insulator Handbook, ed. by I.N. Frantsevich (Naukova Dumka, Kiev, 1983), pp. 60–180
J.R. Christman, Fundamentals of Solid State Physics (Wiley, New York, 1988)
B. Mayer, H. Anton, E. Bott, M. Methfessel, J. Stricht, P.C. Schmidt, Intermettalics 11, 23 (2003)
O.L. Anderson, J. Phys. Chem. Solids 24, 909 (1963)
E. Schreibe, O.L. Anderson, N. Soga, Elastic Constants and their Measurements (McGraw-Hill, New York, 1973)
J.-T. Zhao, Z.-C. Dong, J.T. Vaughey, J.E. Ostenson, J.D. Corbett, J. Alloys Compd. 230, 1 (1995)
Acknowledgments
For author D. Rached, this study was supported by the Algerian national Project PNR (Céramiques Piézoélectriques Propriétés et Applications). For author Rabah Khenata, this study was supported from the vice-rectorate for graduate studies and scientific research at King Saud University, Riyadh, Saudi Arabia.
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Bettahar, N., Nasri, D., Benalia, S. et al. Electronic Structure and Thermodynamic Properties of the Cubic Antiperovskite Compound InNCe\(_{3}\) via First-Principles Calculations. Int J Thermophys 34, 434–449 (2013). https://doi.org/10.1007/s10765-013-1434-y
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DOI: https://doi.org/10.1007/s10765-013-1434-y